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Article: Noncommutative-nilpotent matrices and the Jacobian conjecture
Title | Noncommutative-nilpotent matrices and the Jacobian conjecture |
---|---|
Authors | |
Keywords | Jacobian Conjecture Linear Triangularization Noncommutative Nilpotent Matrices Polynomial Automorphisms Strongly Nilpotent Matrices Triangular Matrices |
Issue Date | 1996 |
Publisher | Taylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/03081087.asp |
Citation | Linear And Multilinear Algebra, 1996, v. 41 n. 2, p. 189-192 How to Cite? |
Abstract | We prove that a polynomial map F = X+ H ∈ k[X] with homogeneous H(k is a field of characteristic zero) is linear triangularizable if and only if the Jacobian matrix J(H) is a noncommutative-nilpotent matrix. © 1996 OPA (Overseas Publishers Association) Amsterdam B.V. Published in The Netherlands Under license by Gordon and Breach Science Publishers SA. |
Persistent Identifier | http://hdl.handle.net/10722/156147 |
ISSN | 2023 Impact Factor: 0.9 2023 SCImago Journal Rankings: 0.654 |
References |
DC Field | Value | Language |
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dc.contributor.author | Yu, JT | en_US |
dc.date.accessioned | 2012-08-08T08:40:35Z | - |
dc.date.available | 2012-08-08T08:40:35Z | - |
dc.date.issued | 1996 | en_US |
dc.identifier.citation | Linear And Multilinear Algebra, 1996, v. 41 n. 2, p. 189-192 | en_US |
dc.identifier.issn | 0308-1087 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156147 | - |
dc.description.abstract | We prove that a polynomial map F = X+ H ∈ k[X] with homogeneous H(k is a field of characteristic zero) is linear triangularizable if and only if the Jacobian matrix J(H) is a noncommutative-nilpotent matrix. © 1996 OPA (Overseas Publishers Association) Amsterdam B.V. Published in The Netherlands Under license by Gordon and Breach Science Publishers SA. | en_US |
dc.language | eng | en_US |
dc.publisher | Taylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/03081087.asp | en_US |
dc.relation.ispartof | Linear and Multilinear Algebra | en_US |
dc.rights | PREPRINT This is a preprint of an article whose final and definitive form has been published in the [JOURNAL TITLE] [year of publication] [copyright Taylor & Francis]; [JOURNAL TITLE] is available online at: http://www.informaworld.com/smpp/ with the open URL of your article POSTPRINT ‘This is an electronic version of an article published in [include the complete citation information for the final version of the article as published in the print edition of the journal]. [JOURNAL TITLE] is available online at: http://www.informaworld.com/smpp/ with the open URL of your article. | - |
dc.subject | Jacobian Conjecture | en_US |
dc.subject | Linear Triangularization | en_US |
dc.subject | Noncommutative Nilpotent Matrices | en_US |
dc.subject | Polynomial Automorphisms | en_US |
dc.subject | Strongly Nilpotent Matrices | en_US |
dc.subject | Triangular Matrices | en_US |
dc.title | Noncommutative-nilpotent matrices and the Jacobian conjecture | en_US |
dc.type | Article | en_US |
dc.identifier.email | Yu, JT:yujt@hku.hk | en_US |
dc.identifier.authority | Yu, JT=rp00834 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1080/03081089608818472 | - |
dc.identifier.scopus | eid_2-s2.0-26644466814 | en_US |
dc.identifier.hkuros | 36736 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-26644466814&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 41 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.spage | 189 | en_US |
dc.identifier.epage | 192 | en_US |
dc.publisher.place | United Kingdom | en_US |
dc.identifier.scopusauthorid | Yu, JT=7405530208 | en_US |
dc.identifier.issnl | 0308-1087 | - |